We give an explicit simplicial model for the Hopf map S3 → S2. For this purpose, we construct a model of S3 as a principal twisted cartesian product K×ηS, where K is a simplicial model for S1 acting by left multiplication on itself, S2 is given the simplest simplicial model and the twisting map is η : ( S2 ) n → (K)n−1. We construct a Kan complex for the simplicial model K of S1. The simplicial...

Abstract Construct maps and related item type frameworks, which respectively describe identify common patterns in student reasoning, provide teachers with tools to support instruction built upon students’ intuitive thinking. We present a methodological approach–embedded within assessment development processes–for developing such construct frameworks entails (1) articulating map, (2) diagnostic ...

Abstract Geothermal energy potential is identified through the deep investigation of geological, geothermal, and geophysical information over a small area; however, this task both expensive complex. Geographic Information Systems (GIS) can integrate different types data (or thematic layers) large regions use them to identify zones high geothermal potential. In study, we GIS as tool construct fi...

We construct covariant coordinate transformations on the fuzzy sphere and utilize these to construct a covariant map from a gauge theory on the fuzzy sphere to a gauge theory on the ordinary sphere. We show that this construction coincides with the Seiberg-Witten map on the Moyal plane in the appropriate limit. The analysis takes place in the algebra and is independent of any star-product repre...

We construct a series of n-unimodal approximations to maps of the Hénon type and utilize the associated symbolic dynamics to describe the possible bifurcation structures for such maps. We construct the bifurcation surfaces of the short periodic orbits in the topological parameter space and check numerically that the Hénon map parameter plane (a, b) is topologically equivalent to a two-dimension...

Over the past couple of years trace maps over Galois fields and Galois rings have been used very successfully to construct cocyclic Hadamard, complex Hadamard and Butson Hadamard matrices and subsequently to generate simplex codes over Z4,Z2s and Zp and new linear codes over Zps . Here we define a new map, the trace-like map and more generally the weighted-trace map and extend these techniques ...

Let f be a univalent self-map of the unit disc. We introduce technique, that we call semigroup-fication, which allows to construct continuous semigroup (ϕ t ) holomorphic self-maps disc whose time one map ϕ 1 is, in sense, very close f. The semigroup-fication is same type as (elliptic, hyperbolic, parabolic positive step or zero step) and there one-to-one correspondence between set boundary reg...

the undesirable effects and consequences of occupational fatal accidents have placed a great emphasis on applying preventive measures. this study was aimed to analyze and specify the latent causes of occupational fatal accidents in exir chemical plant, urmia - iran in 2008-2009. the analytical tripod-beta method was used. a geographic information system (gis) was then used to determine a list o...

A Jacobi polynomial was introduced by Ozeki. It corresponds to the codes over F2. Later, Bannai and Ozeki showed how to construct Jacobi forms with various index using a Jacobi polynomial corresponding to the binary codes. It generalizes Broué-Enguehard map. In this paper, we study Jacobi polynomial which corresponds to the codes over F2f . We show how to construct Jacobi forms with various ind...